Results 271 to 280 of about 168,902 (328)

On certain extremal Banach–Mazur distances and Ader's characterization of distance ellipsoids

open access: yesMathematika, Volume 72, Issue 1, January 2026.
Abstract A classical consequence of the John Ellipsoid Theorem is the upper bound n$\sqrt {n}$ on the Banach–Mazur distance between the Euclidean ball and any symmetric convex body in Rn$\mathbb {R}^n$. Equality is attained for the parallelotope and the cross‐polytope. While it is known that they are unique with this property for n=2$n=2$ but not for n⩾
Florian Grundbacher, Tomasz Kobos
wiley   +1 more source

A Covering pursuit game

open access: yesMathematika, Volume 72, Issue 1, January 2026.
Abstract In the “Covering” pursuit game on a graph, a robber and a set of cops play alternately, with the cops each moving to an adjacent vertex (or not moving) and the robber moving to a vertex at distance at most 2 from his current vertex. The aim of the cops is to ensure that, after every one of their turns, there is a cop at the same vertex as the ...
Benjamin Gillott
wiley   +1 more source

Combinatorics on number walls and the P(t)$P(t)$‐adic Littlewood conjecture

open access: yesMathematika, Volume 72, Issue 1, January 2026.
Abstract In 2004, de Mathan and Teulié stated the p$p$‐adic Littlewood conjecture (p$p$‐LC) in analogy with the classical Littlewood conjecture. Let Fq$\mathbb {F}_q$ be a finite field P(t)$P(t)$ be an irreducible polynomial with coefficients in Fq$\mathbb {F}_q$. This paper deals with the analogue of p$p$‐LC over the ring of formal Laurent series over
Steven Robertson
wiley   +1 more source

The modular automorphisms of quotient modular curves

open access: yesMathematika, Volume 72, Issue 1, January 2026.
Abstract We obtain the modular automorphism group of any quotient modular curve of level N$N$, with 4,9∤N$4,9\nmid N$. In particular, we obtain some unexpected automorphisms of order 3 that appear for the quotient modular curves when the Atkin–Lehner involution w25$w_{25}$ belongs to the quotient modular group. We also prove that such automorphisms are
Francesc Bars, Tarun Dalal
wiley   +1 more source

Structured Dynamics in the Algorithmic Agent. [PDF]

open access: yesEntropy (Basel)
Ruffini G, Castaldo F, Vohryzek J.
europepmc   +1 more source

New upper bound for lattice covering by spheres

open access: yesMathematika, Volume 72, Issue 1, January 2026.
Abstract We show that there exists a lattice covering of Rn$\mathbb {R}^n$ by Euclidean spheres of equal radius with density O(nlnβn)$O\big (n \ln ^{\beta } n \big)$ as n→∞$n\rightarrow \infty$, where β≔12log28πe33=1.85837….$$\begin{align*} \beta \coloneqq \frac{1}{2} \log _2 {\left(\frac{8 \pi \mathrm{e}}{3\sqrt 3}\right)}=1.85837\,\ldots . \end{align*
Jun Gao   +3 more
wiley   +1 more source

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